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Popular Calculus >

(dy)/(dx)=5e^x

Solution

\frac{d y}{d x} = 5 e^{x}

Solution

y = 5 e^{x} + c_{1}

Solution steps

\frac{d y}{d x} = 5 e^{x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 5 e^{x}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 5 e^{x} d x

\int 5 e^{x} d x = 5 e^{x} + c_{1}

y = 5 e^{x} + c_{1}

Graph

Popular Examples

derivative of 1/(x^3+1)

(dy)/(dx)=xy+4x+5y+20

integral from-2 to 3 of (45)/(x^4)

(dy)/(dx)=(x+y)/(x+y+2)

integral of (x+5)/(x^2(x-2))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5e^x ?
The solution for (dy)/(dx)=5e^x is y=5e^x+c_{1}